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Finding the Fourth Proportional to 297,878.81, 446,677.80 and 108,205.47

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Solution

The fourth proportional to 297,878.81, 446,677.80 and 108,205.47 is: 162,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,878.81 : 446,677.80 = 108,205.47 : x
  2. Step 2: Convert to fraction form
    297,878.81/446,677.80 = 108,205.47/x
  3. Step 3: Cross multiply
    297,878.81x = 446,677.80 × 108,205.47
  4. Step 4: Simplify right side
    297,878.81x = 48,332,981,287.57
  5. Step 5: Solve for x
    x = 48,332,981,287.57/297,878.81
  6. Step 6: Final answer
    x = 162,257.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.